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Finding the Third Proportional to 136,291 and 206,897

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Solution

The third proportional to 136,291 and 206,897 is: 314,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,291 : 206,897 = 206,897 : x
  2. Step 2: Convert to fraction form
    136,291/206,897 = 206,897/x
  3. Step 3: Cross multiply
    136,291x = 206,897 × 206,897
  4. Step 4: Simplify right side
    136,291x = 42,806,368,609
  5. Step 5: Solve for x
    x = 42,806,368,609/136,291
  6. Step 6: Final answer
    x = 314,080.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.